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Nonlinear adaptive stabilizing control of an anaerobic digestion model with unknown kinetics
Author(s) -
Dimitrova Neli,
Krastanov Mikhail
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1782
Subject(s) - nonlinear system , control theory (sociology) , equilibrium point , anaerobic digestion , feedback control , computer science , process (computing) , adaptive control , mathematics , control (management) , mathematical optimization , methane , control engineering , engineering , chemistry , physics , organic chemistry , quantum mechanics , artificial intelligence , operating system
SUMMARY In this paper, we consider a nonlinear model of a biological wastewater treatment process, on the basis of two microbial populations and two substrates. The model, described by a four‐dimensional dynamic system, is known to be practically validated and reliable. We propose a feedback control law for asymptotic stabilization of the closed‐loop system towards a previously chosen operating point. A numerical extremum seeking algorithm is applied to stabilize the dynamics towards an equilibrium point with maximal methane flow rate. Computer simulations are reported to illustrate the theoretical results. Copyright © 2011 John Wiley & Sons, Ltd.